47919146100 has 288 divisors, whose sum is σ = 171349032960. Its totient is φ = 10088970240.

The previous prime is 47919146057. The next prime is 47919146123. The reversal of 47919146100 is 164191974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1663621 + ... + 1692179.

It is an arithmetic number, because the mean of its divisors is an integer number (594961920).

Almost surely, 2^47919146100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47919146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85674516480).

47919146100 is an abundant number, since it is smaller than the sum of its proper divisors (123429886860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47919146100 is a wasteful number, since it uses less digits than its factorization.

47919146100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28647 (or 28640 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 47919146100 in words is "forty-seven billion, nine hundred nineteen million, one hundred forty-six thousand, one hundred".